13803840 has 84 divisors (see below), whose sum is σ = 47489364. Its totient is φ = 3680256.

The previous prime is 13803833. The next prime is 13803851. The reversal of 13803840 is 4830831.

It can be written as a sum of positive squares in 2 ways, for example, as 8714304 + 5089536 = 2952^2 + 2256^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484 + ... + 5276.

Almost surely, 2^13803840 is an apocalyptic number.

13803840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23744682).

13803840 is an abundant number, since it is smaller than the sum of its proper divisors (33685524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13803840 is a wasteful number, since it uses less digits than its factorization.

13803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13803840 is about 3715.3519348778. The cubic root of 13803840 is about 239.8832765744.

It can be divided in two parts, 13803 and 840, that multiplied together give a triangular number (11594520 = T₄₈₁₅).

The spelling of 13803840 in words is "thirteen million, eight hundred three thousand, eight hundred forty".